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Use the initial term and the recursive formula to find an explicit formula for the sequence ana_n. Write your answer in simplest form.\newlinea1=42a_1 = 42\newlinean=an−1+13a_n = a_{n - 1} + 13\newlinean=_____a_n = \_\_\_\_\_

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Convert a recursive formula to an explicit formularight chevron icon

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Q. Use the initial term and the recursive formula to find an explicit formula for the sequence ana_n. Write your answer in simplest form.\newlinea1=42a_1 = 42\newlinean=an−1+13a_n = a_{n - 1} + 13\newlinean=_____a_n = \_\_\_\_\_
  1. Identify type of sequence: Step 11: Identify the type of sequence.
  2. Determine common difference: Step 22: Determine the common difference.
  3. Write explicit formula: Step 33: Write the explicit formula for an arithmetic sequence.
  4. Substitute given values: Step 44: Substitute the given values into the formula.
  5. Simplify formula: Step 55: Simplify the formula.

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